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Simplifying 8r + 26 = -5(1 + 2r) + -5 Reorder the terms: 26 + 8r = -5(1 + 2r) + -5 26 + 8r = (1 * -5 + 2r * -5) + -5 26 + 8r = (-5 + -10r) + -5 Reorder the terms: 26 + 8r = -5 + -5 + -10r Combine like terms: -5 + -5 = -10 26 + 8r = -10 + -10r Solving 26 + 8r = -10 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 26 + 8r + 10r = -10 + -10r + 10r Combine like terms: 8r + 10r = 18r 26 + 18r = -10 + -10r + 10r Combine like terms: -10r + 10r = 0 26 + 18r = -10 + 0 26 + 18r = -10 Add '-26' to each side of the equation. 26 + -26 + 18r = -10 + -26 Combine like terms: 26 + -26 = 0 0 + 18r = -10 + -26 18r = -10 + -26 Combine like terms: -10 + -26 = -36 18r = -36 Divide each side by '18'. r = -2 Simplifying r = -2
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